Cambridge problems proposed by the moderators to the candidates for mathematical honors at the general examination, 1843, Τόμος 21843 - 30 σελίδες |
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Αποτελέσματα 1 - 5 από τα 7.
Σελίδα 4
... projected with a given velocity , in order that it may hit a mark at a given distance on the same horizontal line with the point of projection . 7. A body floats in water , find the conditions of equilibrium . A cylinder with its axis ...
... projected with a given velocity , in order that it may hit a mark at a given distance on the same horizontal line with the point of projection . 7. A body floats in water , find the conditions of equilibrium . A cylinder with its axis ...
Σελίδα 6
... projection . 4. State Kepler's laws . Shew from the first that the force on the planets tends towards the sun . State the theoretical de- ductions from the other two . 5. State and prove the principle of the " conservation of areas ...
... projection . 4. State Kepler's laws . Shew from the first that the force on the planets tends towards the sun . State the theoretical de- ductions from the other two . 5. State and prove the principle of the " conservation of areas ...
Σελίδα 10
... projected with a horizontal velocity 2√ga , the particle will ascend just as high as the centre of the shell , and then descend . 19. If the velocity of projection be greater than 2√ga , determine completely the nature of the motion ...
... projected with a horizontal velocity 2√ga , the particle will ascend just as high as the centre of the shell , and then descend . 19. If the velocity of projection be greater than 2√ga , determine completely the nature of the motion ...
Σελίδα 14
... projection of a cube on a plane per- pendicular to its diagonal ( the pole being in the diagonal pro- duced ) is an equilateral hexagon , whose angles are alternately greater and less . If the pole of projection be at a distance from ...
... projection of a cube on a plane per- pendicular to its diagonal ( the pole being in the diagonal pro- duced ) is an equilateral hexagon , whose angles are alternately greater and less . If the pole of projection be at a distance from ...
Σελίδα 19
... projection of the point of contact on that plane are a ' b ' 9. A heavy elastic string is laid upon a smooth double inclined plane in such a manner as to remain at rest ; find how much the string is stretched . 10. Two wheels revolving ...
... projection of the point of contact on that plane are a ' b ' 9. A heavy elastic string is laid upon a smooth double inclined plane in such a manner as to remain at rest ; find how much the string is stretched . 10. Two wheels revolving ...
Άλλες εκδόσεις - Προβολή όλων
Cambridge Problems Proposed by the Moderators to the Candidates for ... Exam Papers Cambridge Univ Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
asymptotes axes axis centre of gravity circle conjugate diameters cosine curve cylinder determine developable surface diagonal double curvature dx a² ecliptic elastic string ellipse ellipsoid equal equilibrium Find dy Find the centre find the condition Find the equation Find the position Find the ratio fixed point fluid forces act fraction function given plane given point harmonic mean inclined plane January least common multiple MATHEMATICS AND NATURAL meridian minimum Moon's motion NATURAL PHILOSOPHY north polar distance number of terms orbit oscillations osculating plane parabola parallel parallelograms particle point of contact pole pressure projection prove the formula pulley PURE MATHEMATICS QUESTIONS IN PURE r₁ radii radius of curvature radius vector rays refracted rest right angle right-angled triangle roots segment shew smooth horizontal plane sphere spherical triangles surface tangents temperature touch vertex vertical plane x y z
Δημοφιλή αποσπάσματα
Σελίδα 3 - The third, viz. that the squares of the periodic times are proportional to the cubes of the mean distances...
Σελίδα 10 - But when a solid angle is formed by three plane angles, the sum of any two of them is greater than the third (Prop.
Σελίδα 10 - Triangles and parallelograms of the same altitude are to one another as their bases.
Σελίδα 6 - ... string passing over a pulley at the top of the inclined plane hangs vertically, supporting a weight (P).
Σελίδα 1 - To express the cosine of an angle of a spherical triangle in terms of the sines and cosines of the sides. Let ABC be a spherical triangle, O the centre of the sphere.
Σελίδα 8 - A Screw of Archimedes is capable of turning freely round its axis, which is fixed in a vertical position ; a heavy particle is placed at the top of the tube and runs down through it; determine the whole angular velocity communicated to the screw.